Paper number 871

OPTIMAL DESIGN OF VISCOELASTIC COMPOSITES WITH PERIODIC MICROSTRUCTURES

Yeong-Moo Yi¹, Sang-Hoon Park², and Sung-Kie Youn²

1Space Technology Division, Korea Aerospace Research Institute, Yusung P.O. Box 113, Taejon, 305-600,Korea
2Department of Mechanical Engineering, Korea Advanced Institute of Sciene and Technology 373-1, Gusung-dong, Yusung-ku, Taejon, 305-701, Korea

Summary

Optimal design of viscoelastic composites with prescribed or optimal stiffness/damping characteristics is presented. The effective complex moduli in frequency domain are obtained by applying the homogenization method in frequency domain with Correspondence Principle. To find a viscoelastic composite with given constituent material properties, an inverse homogenization problem is formulated as a topology optimization problem using the homogenization method. An artificial material model is presented in order to construct a topology optimization problem as a density distribution problem. The sensitivity with respect to density is formulated. Design variables, objective function and design constraints including material symmetry and geometric symmetry are defined to construct the optimization problem, as a microstructure design problem by an inverse homogenization approach. Numerical design examples are presented with discussions on the optimal design of microstructures for viscoelastic composites.

Keywords

viscoelastic, damping, inverse homogenization, optimization.